A Selberg integral for the Lie algebra An

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Abstract

A new q-binomial theorem for Macdonald polynomials is employed to prove an An analogue of the celebrated Selberg integral. This confirms the case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every simple Lie algebra. © 2009 Institut Mittag-Leffler.

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APA

Warnaar, S. O. (2009). A Selberg integral for the Lie algebra An. Acta Mathematica, 203(2), 269–304. https://doi.org/10.1007/s11511-009-0043-x

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